High initial amplitude and high Mach number effects on the evolution of the single-mode Richtmyer-Meshkov instability.
High initial amplitude and high Mach number effects on the evolution of the single-mode Richtmyer-Meshkov instability.
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DOI：
10.1103/physreve.67.026307
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发表时间：
2003-02
期刊：
影响因子：
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通讯作者：
A. Rikanati;D. Oron;O. Sadot;D. Shvarts
中科院分区：
文献类型：
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作者：
A. Rikanati;D. Oron;O. Sadot;D. Shvarts
采用理论模型、实验和数值模拟研究了高马赫数和高初始振幅对单模Richtmyer-Meshkov激波诱导流体动力学不稳定性演化的影响。两个制度，其中有一个显着的偏离初始扰动振幅的初始速度的线性依赖关系的定义和特征。在一个，观察到的初始速度的减少主要是由于大的初始振幅。这种效果是准确地模拟涡沉积模型，量化的初始扰动幅度和确切的界面形状的效果。在另一种情况下，减少主要是由冲击波的界面附近。这种影响是由一个修改后的不可压缩模型，其中的冲击波是模仿一个移动的边界墙。这些结果得到了高初始振幅马赫数1.2激波管实验的补充，使两种效应分离。结果表明，在大多数以前的实验中，所观察到的减少主要是由于高初始振幅的影响。
Effects of high-Mach numbers and high initial amplitudes on the evolution of the single-mode Richtmyer-Meshkov shock-wave induced hydrodynamic instability are studied using theoretical models, experiments, and numerical simulations. Two regimes in which there is a significant deviation from the linear dependence of the initial velocity on the initial perturbation amplitude are defined and characterized. In one, the observed reduction of the initial velocity is primarily due to large initial amplitudes. This effect is accurately modeled by a vorticity deposition model, quantifying both the effect of the initial perturbation amplitude and the exact shape of the interface. In the other, the reduction is dominated by the proximity of the shock wave to the interface. This effect is modeled by a modified incompressible model where the shock wave is mimicked by a moving bounding wall. These results are supplemented with high initial amplitude Mach 1.2 shock-tube experiments, enabling separation of the two effects. It is shown that in most of the previous experiments, the observed reduction is predominantly due to the effect of high initial amplitudes.